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On certain p-valent close-to-convex functions of order \(\beta \) and type \(\alpha \)

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

A new class \(K_p(\alpha ,\beta )\) consisting of the functions which are p-valent close-to-convex of order \(\beta \) and type \(\alpha \) is introduced. The object of the present paper is to derive some sufficient conditions for functions to be in the class \(K_p(\alpha ,\beta )\).

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Acknowledgements

This work is supported by National Natural Science Foundation of China (Grant No. 11571299) and Natural Science Foundation of Jiangsu Province (Grant No. BK20151304).

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  1. Department of Mathematics, Yangzhou University, Yangzhou, 225002, China

    Jin-Lin Liu

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  1. Jin-Lin Liu
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Liu, JL. On certain p-valent close-to-convex functions of order \(\beta \) and type \(\alpha \). RACSAM 113, 49–57 (2019). https://doi.org/10.1007/s13398-017-0449-9

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  • DOI: https://doi.org/10.1007/s13398-017-0449-9

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